what Prop said is all true...
Nothing wrong with a 383 stroker build thou, I've done a few... 3.750" {413-426-440 crank}, 3.90" {offset ground 440/3.750" crank}, 4.15", 4.250" strokers
you can build a somewhat cheaper 433ci 383ci {-438ci} @ 0.040" over {require custom pistons}
most of the kits are either 0.030" over 4.280" bore or 0.060" over 4.310" bore, along with a 3.75" 440 forging,
with mains ground to b-specs & the counter weight reduces to like 7.2" radius {0.125" off}
the pistons, rods, crank internal hardware, balancing & machine work, will exceed $2000 pretty quickly
the heads, Cam/Valve-train & induction to "properly" accommodate the larger CI's,
would eat up that $3000 you have left pretty easily/quickly... I can be done
440source
http://store.440source.com/Stroker-Kits/products/3/ {near bottom of that page}
has some pieces that will work well for a mild combo & a little cheaper than some kits are out there... I'd go with the platinum series H-beam rods as an upgrade...
Mancini Racing has some decent prices too...
the smaller bore of the 383 4.250" bore will hinder some cylinder-head/intake airflow
{slightly shrouding the intake}
but only
a few less HP in the long run,
really no big deal on a mostly street driven combo,
a larger bore is better for head & intake flow,
especially on a race engine combo, it's more important...
the 383ci bore is smaller compared to the larger bore of a 400ci 4.340"
{0.090" larger, & the biggest std bore in a mopar wedge} with a 440/3.75" crank is 451+ci's or the 440's 4.320" std bore...
The cylinder heads are a very crucial part of the combo, porting your iron 906 heads or buying some good aluminum heads {IMHFO it's money extremely well spent} that will handle the added ci's effectively/efficiently, that's almost/pretty much a necessity
{if you want it to perform the way it should}
BB wedges, B or RB combos, the Mopar wedges are notorious for the heads being the limiting factor/the big choke point in making any decent HP...
It's money well spent in that area, even if it's a stock 383 or 400 or 440 bottom end...
the 440 is wider & taller & heavier, but is an easy swap & 60+ ci's bigger in stock form
I guess it depends on what you want, your budget & what you like, if you want to keep a smaller lighter narrower -B- {383} or a bigger -RB- {440} engine in the car...
Remember it's not just the engine like others have said it's the whole combo, engine/heads/induction/fuel system, cooling system, exhaust, drive train, trans, gears, converter, tires/wheels etc.
maybe just save a little more $$$$ or budget another $1500-$2000 you'd be probably more happy with the final outcome
there's more than one way to skin a cat...
have fun
good luck